Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations | Zendy

Yousef Jafarzadeh | Zendy; Bagher Keramati | Zendy

Open Access

Convergence Analysis of Parabolic Basis Functions for Solving Systems of Linear and Nonlinear Fredholm Integral Equations

Author(s) -

Yousef Jafarzadeh,

Bagher Keramati

Publication year - 2017

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1507-8

Subject(s) - mathematics , fredholm integral equation , convergence (economics) , fredholm theory , nonlinear system , integral equation , basis function , mathematical analysis , basis (linear algebra) , geometry , physics , quantum mechanics , economics , economic growth

In this paper, a computational method based on a hybrid of parabolic and block-pulse functions is proposed to solve a system of linear and special nonlinear Fredholm integral equations of the second kind. The convergence and error bound are analyzed. Numerical examples are given to illustrate the efficiency of the method.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research